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Question

The value of 20r=0 50rC6 is equal to

A
51C7 30C7
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B
51C7+ 30C7
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C
50C7 30C7
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D
50C6 30C6
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Solution

The correct option is A 51C7 30C7
We have, 20r=0 50rC6
= 50C6+ 49C6+ 48C6++ 30C6
= 30C7+ 30C7+ 30C6+ 31C6++ 49C6+ 50C6
= 30C7+ 31C7+ 31C6++ 49C6+ 50C6
= 30C7+ 32C7+ 32C6++ 49C6+ 50C6
.
.
.

= 30C7+ 51C7

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